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ACOUSTIC SOURCE LOCALIZATION USING ACOUSTIC VECTOR SENSORS

Joshua York , Patricio S. La Rosa, Ed Richter, and Arye Nehorai

Department of Electrical and Systems Engineering

Abstract

An acoustic vector sensor (AVS) measures all the three components of the acoustic particle velocity and the pressure at a single point in space. Through real experiments, the study evaluated the advantages of AVS for source localizing problems, compared with standard pressure sensor arrays. For this aim, we built a linear array of four AVS and design a graphical user interface for processing the measurements and estimating the source location in 3D. This research considered the source identifiability using a single AVS, as well as 3D location estimation using a linear array of AVS.

Overview

Goal

Estimate the position of an acoustic source using spatial and temporal measurements of pressure and particle acoustic field

Approach

Physical modeling of the propagation of an acoustic waveform through the air.

• Statistical analysis of pressure and particle velocity measurements taken by an array of acoustic vector sensors .

Applications

Assisted navigation, defense, teleconference, vibration analysis

Background

Acoustic vector sensor (AVS)

Euler equation

Azimuth and elevation estimation

Measurement model

AVS pressure-sensor-measurement noise particle-velocity-measurement noise

Multiple AVS and single source model

Far acoustic field pressure at position r and time

t

particle velocity at position r and time

t

speed of sound, direction of particle velocity

Ambient pressure

Single AVS and source model

Signal conditioner

DAQ

Experimental Setup and GUI

Illustration of the main components of our experimental setup

Array of AVS

Capon Spectra

Figure: Power distribution as a function of azimuth and elevation

The red arrow indicates the maximum spectral value.

A) Single AVS

Numerical Example: Source identifiability

SNR1 = SNR2 = SNR

SNR = -3 dB

B) Two AVS

SNR = 6 dB SNR = 12 dB

Pressure sensor

Steering vector

Particle velocity sensor

Figure:Photograph of a three dimensional sound intensity probe consisting of one pressure sensor and three particle velocity sensors mounted together (Source:

Microflown Technologies, B.V.)

Estimation algorithm

Capon Spectra

sample-correlation matrix for

N

samples

References

• A. Nehorai and E. Paldi, ``Acoustic vector sensor array processing,"

Proc. 26th

Asilomar Conf. Signals, Syst. Comput.

, pp. 192-198, Pacific Grove, CA, Oct. 1992.

• A. Nehorai and E. Paldi, "Acoustic vector-sensor array processing,"

IEEE Trans. on

Signal Processing

, Vol. SP-42, pp. 2481-2491, Sept. 1994.

• M. Hawkes and A. Nehorai, "Acoustic vector-sensor beamforming and capon direction estimation,"

IEEE Trans. on Signal Processing

, Vol. SP-46, pp. 2291-2304,

Sept. 1998.

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